Related: Somebody flips a coin 100 times. It's come up heads each time. What are the odds it comes up heads on the 101st throw? If you're doing a probability problem, the answer is 50%. But in reality, would you bet even with 1000x1 odds in your favor on that 101st throw being a tails?

In reality, I wouldn't bet either way. It's very likely that there's a trick where the coinflip will go against whichever way I bet.